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Existence of positive solutions of some nonlinear elliptic problems in unbounded domains

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Publication:2491695
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DOI10.1016/j.jmaa.2005.06.075zbMath1151.35345OpenAlexW2051763404MaRDI QIDQ2491695

Chen-Chang Peng, Kuan-Ju Chen

Publication date: 29 May 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.06.075


zbMATH Keywords

unbounded domainpositive solutiontopology of domain


Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)


Related Items

Existence of positive solutions for \(p(x)\)-Laplacian equations in unbounded domains



Cites Work

  • The concentration-compactness principle in the calculus of variations. The locally compact case. I
  • Positive solutions of some nonlinear elliptic problems in exterior domains
  • Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
  • Symmetry of positive solutions of semilinear elliptic equations in infinite strip domains
  • Existence of solutions of semilinear elliptic problems on unbounded domains
  • Bifurcation for Dirichlet Problems Without Eigenvalues
  • Existence and non-existence results for semilinear elliptic problems in unbounded domains
  • A Necessary and Sufficient Condition for Palais--Smale Conditions
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